【摘要】 通过虚功原理和单位荷载法分析了均布荷载作用下一次超静定梁的弹塑性加载及变形过程。受力变形可分为四个阶段:弹性阶段、固支端附近产生塑性变形阶段、固支端为塑性铰而固支端附近塑性区卸载阶段、固支端保持为塑性铰而梁中部部分区域产生塑性变形直至形成塑性流动阶段。给出了加载各阶段的弯矩、位移公式及外荷载与支反力的关系式,可供工程结构设计和力学教学参考。更多还原

【Abstract】 By using of virtual work principle and the unit-load method, the elastic-plastic process of loading and deflection of a beam with one degree of indeterminacy under an even load is analyzed. The process is divided into four stages: an elastic state in the whole beam, an elastic-plastic state in the region close to the fixed end, an unloading state in the plastic region with a plastic hinge at the fixed end, and an elastic-plastic state in the region near the middle of the beam till the formation of plastic flow state with a plastic hinge at the fixed end. The formulae of the moment and displacement and reaction force at the support of the beam are derived at the four stages. The results are applicable to engineering structure design as well as teaching.更多还原